Question

consider the following table: step 1 of 8: calculate the sum of squares among treatments. please round your answer to two decimal places. answer how to enter your answer (opens in new window)

Explanation:

Step1: Recall the relationship

The total sum of squares (SS Total) is the sum of the sum of squares among treatments (SS Among Treatments) and the sum of squares of error (SS Error). That is, $SS_{Total}=SS_{Among Treatments}+SS_{Error}$. Also, the mean - square among treatments ($MS_{Among Treatments}$) is calculated as $MS_{Among Treatments}=\frac{SS_{Among Treatments}}{DF_{Among Treatments}}$, where $DF_{Among Treatments}$ is the degrees of freedom among treatments. We know $SS_{Total} = 12825.12$, and we can find $SS_{Among Treatments}$ using the formula for $MS_{Among Treatments}$ since $MS_{Among Treatments}=884.12$ and $DF_{Among Treatments}=6$.

Step2: Calculate SS Among Treatments

We know that $MS_{Among Treatments}=\frac{SS_{Among Treatments}}{DF_{Among Treatments}}$. Rearranging the formula for $SS_{Among Treatments}$, we get $SS_{Among Treatments}=MS_{Among Treatments}\times DF_{Among Treatments}$.
Substitute $MS_{Among Treatments} = 884.12$ and $DF_{Among Treatments}=6$ into the formula:
$SS_{Among Treatments}=884.12\times6 = 5304.72$

Answer:

$5304.72$